Answer:
x = -19; y = 25/3
Step-by-step explanation:
Step 1: solve the equation with only one variable
Isolate the variable (x)
x + 10 = -9
x = -9 - 10
x = -19
Step 2: input new information into the other equation
If x = -19, then:
2(-19) - 6y = 12
Isolate the variable (y)
-38 - 6y = 12
-6y = 12 + 38
-6y = 50
y = 50 ÷ 6
y = 50/6
Simplify
y = 25/3
Answer: Part A - C, Part B - 12 pieces
Step-by-step explanation:
<u>Part A:</u>
We know that 1/4 of Meredith's sub is bigger than 1/4 of Jim's sub, so we can set up an inequality.
Let Meredith's sub size = m; Jim's = j
Therefore, 1/4*m > 1/4*j
We can multiply both sides by 4:
m > j
Thus, the correct answer is C
<u>Part B:</u>
Since he had 1/4 of it left, that means he at 1 - 1/4 of it = 3/4 of his sub.
We can calculate the value of 3/4 * 16 = 12 pieces
A is the answer I got hope this helps !!
Answer:
52.5% probability that A occurs given B occurs
Step-by-step explanation:
Suppose we have two events, A and B, the conditional probability formula is:

In which
P(A|B) is the probability of A happening given that B happened.
is the probability of both A and B happening.
P(B) is the probability of B happening.
In this problem, we have that:

So

52.5% probability that A occurs given B occurs
Answer:
the number is 24
Step-by-step explanation:
10 less than two thirds the number is one fourth the number
Let the unknown number be x
two third of the number is 
10 less than two third the number becomes

one fourth the number becomes 
10 less than two thirds the number is one fourth the number

We need to solve for x
LCD is 3*4 = 12
Multiply the whole equation by 12

8x - 120 = 3x
add 120 on both sides
8x = 3x + 120
Subtract 3x on both sides
5x = 120
divide by 5 on both sides
x= 24